Online GCD Calculator is useful to find the GCD of 695, 265, 440, 725 quickly. Get the easiest ways to solve the greatest common divisor of 695, 265, 440, 725 i.e 5 in different methods as follows.
Given Input numbers are 695, 265, 440, 725
In the factoring method, we have to find the divisors of all numbers
Divisors of 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
Divisors of 265 :
The positive integer divisors of 265 that completely divides 265 are.
1, 5, 53, 265
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
GCD of numbers is the greatest common divisor
So, the GCD (695, 265, 440, 725) = 5.
Given numbers are 695, 265, 440, 725
The list of prime factors of all numbers are
Prime factors of 695 are 5 x 139
Prime factors of 265 are 5 x 53
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 725 are 5 x 5 x 29
The highest common occurrence is 51
Therefore, GCD of 695, 265, 440, 725 is 5.
Given numbers are 695, 265, 440, 725
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(695, 265) = 36835
GCD(695, 265) = ( 695 x 265 ) / 36835
= 695 / 265
= 695
Step2:
LCM(5, 440) = 440
GCD(5, 440) = ( 5 x 440 ) / 440
= 5 / 440
= 5
Step3:
LCM(5, 725) = 725
GCD(5, 725) = ( 5 x 725 ) / 725
= 5 / 725
= 5
So, Greatest Common Divisor of 695, 265, 440, 725 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 695, 265, 440, 725
The greatest common divisor of numbers 695, 265, 440, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 695, 265, 440, 725 is 5.
1. What is the GCD of 695, 265, 440, 725?
GCD of given numbers 695, 265, 440, 725 is 5
2. How to calculate the greatest common divisor of 695, 265, 440, 725?
We can find the highest common divisor of 695, 265, 440, 725 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 695, 265, 440, 725 i.e 5.
3. How can I use the GCD of 695, 265, 440, 725Calculator?
Out the numbers 695, 265, 440, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.